331424200143232 has 192 divisors, whose sum is σ = 805776938403840. Its totient is φ = 132983776419840.

The previous prime is 331424200143217. The next prime is 331424200143259. The reversal of 331424200143232 is 232341002424133.

It is a super-2 number, since 2×331424200143232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46107763 + ... + 52808845.

It is an arithmetic number, because the mean of its divisors is an integer number (4196754887520).

Almost surely, 2^{331424200143232} is an apocalyptic number.

331424200143232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331424200143232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402888469201920).

331424200143232 is an abundant number, since it is smaller than the sum of its proper divisors (474352738260608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331424200143232 is a wasteful number, since it uses less digits than its factorization.

331424200143232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701329 (or 6701300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 331424200143232 its reverse (232341002424133), we get a palindrome (563765202567365).

The spelling of 331424200143232 in words is "three hundred thirty-one trillion, four hundred twenty-four billion, two hundred million, one hundred forty-three thousand, two hundred thirty-two".